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To prove the circles are similar, which sequence of transformations will map circle A with center (-5, -4) and radius 18 to circle M with center (-2, 3) and radius 6?

Question 15 options:

Translate <3, 7> then dilate by scale factor of 3


Translate <-3, -7> then dilate by scale factor of 3


Translate <-3, -7> then dilate by scale factor of 1/3


Translate <3, 7> then dilate by scale factor of 1/3

Respuesta :

hnhan369963oshi04

Answer:

Translate <3, 7> then dilate by scale factor of 1/3

Step-by-step explanation:

-2 - (-5) = 3

3 - (-4) = 7

6/18 = 1/3

The sequence of transformation that will map the circle would be:

D). Translate <3, 7> then dilate by a scale factor of 1/3

Define dilation

Dilation is denoted as the process in which an object gets expanded or widened.

Given that,

Center of circle A = (-5, -4)

Radius = 18

Center of circle M = (-2,3)

To find the dilation,

⇒ [tex]-2 - (-5) = 3[/tex]

⇒ [tex]3 - (-4) = 7[/tex]

= [tex]6/18[/tex]

[tex]= 1/3[/tex]

Therefore, the translation will happen with <3, 7> and the dilation in the scale factor being 1/3.

Thus, option D is the correct answer.

Learn more about "Scale Factor" here:

brainly.com/question/22644306

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